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Finding the Fourth Proportional to 295.67, 444.51 and 238.60

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Solution

The fourth proportional to 295.67, 444.51 and 238.60 is: 358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.67 : 444.51 = 238.60 : x
  2. Step 2: Convert to fraction form
    295.67/444.51 = 238.60/x
  3. Step 3: Cross multiply
    295.67x = 444.51 × 238.60
  4. Step 4: Simplify right side
    295.67x = 106,060.09
  5. Step 5: Solve for x
    x = 106,060.09/295.67
  6. Step 6: Final answer
    x = 358.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.